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Finding the Third Proportional to 46,275,809,669 and 65,166,537,229

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Solution

The third proportional to 46,275,809,669 and 65,166,537,229 is: 91,768,844,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,275,809,669 : 65,166,537,229 = 65,166,537,229 : x
  2. Step 2: Convert to fraction form
    46,275,809,669/65,166,537,229 = 65,166,537,229/x
  3. Step 3: Cross multiply
    46,275,809,669x = 65,166,537,229 × 65,166,537,229
  4. Step 4: Simplify right side
    46,275,809,669x = 4,246,677,574,418,642,763,776
  5. Step 5: Solve for x
    x = 4,246,677,574,418,642,763,776/46,275,809,669
  6. Step 6: Final answer
    x = 91,768,844,344.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.